物理学报Issue(15)：1-6,6.DOI:10.7498/aps.64.157401
一类新的Stückelb erg全息超导模型∗
A new Stückelb erg holographic sup erconductor mo del
摘要
Abstract
The AdS/CFT correspondence has provided us a useful approach to describe strongly interacting systems holo-graphically through weakly coupled gravitational duals. One of the mostly studied gravity duals is the holographic superconductor, which is constructed by a scalar field coupled to a Maxwell field in an AdS black hole background. It is shown that when the Hawking temperature of a black hole drops below a critical value, the black hole becomes unstable and this instability in the (d+1) dimensional AdS black hole corresponds to a d-dimensional phase transition at the boundary, called holographic superconductor model. Generally speaking, the instability of the gravity systems belongs to the second-order phase transition. Lately, it was stated that the holographic superconductor with the spontaneous breaking of a global U(1) symmetry via the Stückelberg mechanism allows the first-order phase transition to occur. Some further studies are carried out by considering new forms of the Stückelberg mechanism. So it is very interesting to extend the discussion to other new forms of Stückelberg mechanism to explore the rich properties of holographic super-conductors. By considering new higher correction terms of the scalar fields, we investigate a general class of holographic superconductors via Stückelberg mechanism in the background of four-dimensional AdS black hole. We obtain richer structures in the metal/superconductor phase transitions. We study the condensation of the scalar operator and find that when the model parameter is above a threshold value, this new model allows first-order phase transition to occur. We also examine the effects of the backreaction on the threshold model parameter and find that backreaction makes the first-order phase transitions easier to happen (or smaller threshold parameters above which the phase transition changes from second to first order). We may conclude that the model parameter coupled with the backreaction can determine the order of phase transitions.关键词
AdS/CFT对应性/黑洞/全息超导Key words
AdS/CFT correspondence/black hole/holographic superconductor引用本文复制引用
彭严,邓方安,刘国华,杨凯凡..一类新的Stückelb erg全息超导模型∗[J].物理学报,2015,(15):1-6,6.基金项目
国家自然科学基金青年科学基金(批准号:11305097,11301318)、陕西省教育厅基金(批准号:2013JK0616)和陕西理工学院人才启动基金(批准号：SLGQD13-23)资助的课题.@@@@* Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant Nos.11305097,11301318), the education department of Shaanxi province of China (Grant No.2013JK0616), and the Foundation of Shaaxi University of Technology of China (Grant No. SLGQD13-23) （批准号:11305097,11301318）
